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math.CA2015
Beyond local maximal operators
Hannes Luiro, Antti V. Vähäkangas
We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete bound…
math.MG2015★ 2 cited
On the uniqueness of quasihyperbolic geodesics
Hannes Luiro
In this work we solve a couple of well known open problems related to the quasihyperbolic metric. In the case of planar domains, our first main result states that quasihyperbolic g…